Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 145

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.75.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. aet
  2. 2
  3. 1
  4. n
  5. Co1
  6. con
  7. Ven
  8. Cap. XX
  9. A L G F B R A.
  10. a - B = 0.
  11. 1 - c = 0.
  12. F a = = 0.
  13. Radices; + b, + c, - d.
  14. aa a = ba a = bca Vid. Sect. 4. Pr. 4.
  15. caa bda
  16. +daa = c d a. + Bc d = d00.
  17. a = b = 0.
  18. a = c =0. Radices; - b, = 0, + d.
  19. a = d - 0.
  20. a a a = ba a = BCa
  21. FCaa = b da
  22. Sect. 4. pr. 3.
  23. =da a 6d a - bc d =000.
  24. a F b ==0.
  25. a Fc = 0. Radices; -b, - 6
  26. a a = 0.
  27. aaa F Baa FBCa
  28. F caa = b d a
  29. + a a a-= Ca a f bcd = 000.
  30. s
  31. EIS addit plures casus speciales. Prae caeteris quatuor sequentes A quariones quas
  32. vocat ReciprocaS. Fas aurem sic vocat, in quibus quantitas Absolute cognita, ft
  33. ex continuia mulciplicatione Coesticientium cognitarum: Ft incornux gradus su.
  34. premus, simili mulciplicatione reliquorum graduum. Ot hic, bc d = bcX d, e
  35. 2aa = a aXa.
  36. V. aa = = bc.
  37. a
  38. VI. aa = = Bc.
  39. -
  40. aa - b0 = 0. Radices. = VBC. = YBc. + d.
  41. 0
  42. aua daa - bca + Bcd = 0.
  43. aa = B0 =0. Radices. = V - Bc. - Y - Bc. f d.
  44. a- a = - 0..
  45. aa a dac + bic a - Bc d = 0. Sect. 4. Pr. 18.
  46. VHI. aa = F Bc. aa -- Bc = 0. Radices. + V b6. = Ybc. = d.
  47. Vel a
  48. a + a =0
  49. aa a = dua = Bc a = bc d =0.
  50. a. = b = 0. Racices. - B. + 6. - c.
  51. aa = = C6. aa - c6 =0.
  52. aa u = baa CCa - bCC = 0. Sect. 4. pr. 19.
  53. VIII. aa = - b0. aa F. B0 = 0. Radices. f V -- bc. - V - Bc. - d.
  54. =
  55. a = a =- 0.
  56. aa a + dau + bc a = BC d = 0.
  57. Velis a = = b. a = B = 0. Radices. + B. + c. = c.
  58. aa = CC. aa -- CC =-0.
  59. aaa = baa cca = b0c = 0. dect. 4. pr. 20.
  60. Ouibus has tres addie aequationes; ex parcitione simplieis quaneitatis in Formam
  61. Binomii oriundas.
  62. IX. r = a = + g. rrr - 3rr a F 3raa = a aa = + 999. alie 119.
  63. HocClt a - r + g =-0. aaa- 3raa + 3rra = rrr = 0.
  64. +992
  65. II. a = - b
  66. NV. a = - b.

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 145. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0169?run=74